Glueballs from bound state equations

Abstract

Glueballs are bound states in the spectrum of quantum chromodynamics which consist only of gluons. They belong to the group of exotic hadrons which are widely studied experimentally and theoretically. We summarize how to calculate glueballs in a functional framework and discuss results for pure Yang-Mills theory. Our setup is totally self-contained with the scale being the only external input. We enumerate a range of tests that provide evidence of the stability of the results. This illustrates the potential of functional equations as a continuum first-principles method complementary to lattice calculations.

arXiv comment8 pages, 5 figures, 1 table, contribution to the proceedings of "XVth Quark Confinement and the Hadron Spectrum", Aug. 1-6, 2022

References in corpus (24)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Baryons as relativistic three-quark bound states
• Explanation and Prediction of Observables using Continuum Strong QCD
• The Physics of Glueballs
• The Status of Glueballs
• The Experimental Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure
• The glueball spectrum of SU(3) gauge theory in 3+1 dimension
• On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
• Numerical analytic continuation of Euclidean data
• A Dyson-Schwinger study of the four-gluon vertex
• The low lying glueball spectrum
• PANDA Phase One
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• Pseudoscalar glueball mass: a window on three-gluon interactions
• On non-primitively divergent vertices of Yang-Mills theory
• Four-quark states from functional methods
• Higher spin glueballs from functional methods
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• Study of central exclusive ${\pi }^{+}{\pi }^{-}$ production in proton-proton collisions at $\sqrt{s}=$ 5.02 and 13 TeV
• Spectroscopy From The Lattice: The Scalar Glueball